Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 1414, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1414 evenly are known as factors of 1414.
A factor of 1414 is a number that divides the number without remainder.
The factors of 1414 are 1, 2, 7, 14, 101, 202, 707, and 1414.
Negative factors of 1414: -1, -2, -7, -14, -101, -202, -707, and -1414.
Prime factors of 1414: 2, 7, and 101.
Prime factorization of 1414: 2 × 7 × 101.
The sum of factors of 1414: 1 + 2 + 7 + 14 + 101 + 202 + 707 + 1414 = 2448
Factors can be found using different methods. Mentioned below are some commonly used methods:
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1414. Identifying the numbers which are multiplied to get the number 1414 is the multiplication method.
Step 1: Multiply 1414 by 1, 1414 × 1 = 1414.
Step 2: Check for other numbers that give 1414 after multiplying
2 × 707 = 1414
7 × 202 = 1414
14 × 101 = 1414
Therefore, the positive factor pairs of 1414 are: (1, 1414), (2, 707), (7, 202), (14, 101).
All these factor pairs result in 1414.
For every positive factor, there is a negative factor.
Dividing the given number with whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1414 by 1, 1414 ÷ 1 = 1414.
Step 2: Continue dividing 1414 by the numbers until the remainder becomes 0.
1414 ÷ 1 = 1414
1414 ÷ 2 = 707
1414 ÷ 7 = 202
1414 ÷ 14 = 101
Therefore, the factors of 1414 are: 1, 2, 7, 14, 101, 202, 707, 1414.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1414 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1414 ÷ 2 = 707
707 ÷ 7 = 101
101 ÷ 101 = 1
The prime factors of 1414 are 2, 7, and 101.
The prime factorization of 1414 is: 2 × 7 × 101.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1414 is divided by 2 to get 707.
Step 2: Now divide 707 by 7 to get 101.
Step 3: Here, 101 is a prime number and cannot be divided anymore.
So, the prime factorization of 1414 is: 2 × 7 × 101.
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.
Positive factor pairs of 1414: (1, 1414), (2, 707), (7, 202), (14, 101).
Negative factor pairs of 1414: (-1, -1414), (-2, -707), (-7, -202), (-14, -101).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 14 guests and 1414 candies. How will they divide it equally?
They will get 101 candies each.
To divide the candies equally, we need to divide the total candies by the number of guests.
1414/14 = 101
A conference room is rectangular, the length of the room is 14 meters, and the total area is 1414 square meters. Find the width.
101 meters.
To find the width of the room, we use the formula,
Area = length × width
1414 = 14 × width
To find the value of width, we need to shift 14 to the left side.
1414/14 = width
Width = 101.
There are 707 boxes and 1414 marbles. How many marbles will be in each box?
Each box will have 2 marbles.
To find the marbles in each box, divide the total marbles by the number of boxes.
1414/707 = 2
In a class, there are 1414 students, and 101 teams. How many students are there in each team?
There are 14 students in each team.
Dividing the students by the total teams, we will get the number of students in each team.
1414/101 = 14
1414 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 202 books.
Divide total books by shelves.
1414/7 = 202
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.